Trivial source character tables of $\text{SL}_2(q)$, Part II

Abstract: We compute the trivial source character tables (also called species tables of the trivial source ring) of the infinite family of finite groups $\text{SL}{2}(q)$ for $q$ even, over a large enough field $k$ of positive characteristic ${\ell}$ not dividing $q$. This article is a continuation of our article Trivial Source Character Tables of $\text{SL}{2}(q)$ where we considered, in particular, the case in which $q$ is odd in cross-characteristic.